Fixed Rings of Finite Automorphism Groups of Associative Rings, S. Montgomery

Автор: Javier Aramayona; Volker Diekert; Christopher J. L
Название: Algorithmic and Geometric Topics Around Free Groups and Automorphisms
ISBN: 3319609394 ISBN-13(EAN): 9783319609393
Издательство: Springer
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Описание:

This volume presents the lecture notes from the authors' three summer courses offered during the program "Automorphisms of Free Groups: Geometry, Topology, and Dynamics," held at the Centre de Recerca Matem tica (CRM) in Bellaterra, Spain.

The first two chapters present the basic tools needed, from formal language theory (regular and context-free languages, automata, rewriting systems, transducers, etc) and emphasize their connections to group theory, mostly relating to free and virtually-free groups. The material covered is sufficient to present full proofs of many of the existing interesting characterizations of virtually-free groups. In turn, the last chapter comprehensively describes Bonahon's construction of Thurston's compactification of Teichm ller space in terms of geodesic currents on surfaces. It also includes several intriguing extensions of the notion of geodesic current to various other, more general settings.

Автор: Hyman Bass; Maria V. Otero-Espinar; Daniel Rockmor
Название: Cyclic Renormalization and Automorphism Groups of Rooted Trees
ISBN: 3540605959 ISBN-13(EAN): 9783540605959
Издательство: Springer
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Описание: The theme of this monograph is an interplay between dynamical systems and group theory. The normal subgroup structure of the automorhpism groups of such "spherically homogenous" rooted trees is investigated in detail.

Автор: Emilio Bujalance; Jose J. Etayo; Jose M. Gamboa; G
Название: Automorphism Groups of Compact Bordered Klein Surfaces
ISBN: 3540529411 ISBN-13(EAN): 9783540529415
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Описание: Discusses the problem of determining the conditions under which a compact bordered Klein surface S and a finite group G exist, such that G acts as a group of automorphisms in S.

Автор: Evgenii I. Khukhro
Название: p-Automorphisms of Finite p-Groups
ISBN: 052159717X ISBN-13(EAN): 9780521597173
Издательство: Cambridge Academ
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Описание: Suitable for graduate students and researchers working in the fields of group theory and Lie rings. Relevant preliminary material on Lie rings is introduced followed by the main theorems of the book on the solubility of finite p-groups. Includes over a hundred exercises.